Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 28, 491, 418, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 491, 418, 494 is 1
GCD(28, 491, 418, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 491, 418, 494 is 1
GCD(28, 491, 418, 494) = 1
Given Input numbers are 28, 491, 418, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 28, 491, 418, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 491, 418, 494 is 1.
Therefore, GCD of numbers 28, 491, 418, 494 is 1
Given Input Data is 28, 491, 418, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 491 is 491
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 494 is 2 x 13 x 19
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 491) = 13748
GCD(28, 491) = ( 28 x 491 ) / 13748
GCD(28, 491) = 13748 / 13748
GCD(28, 491) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
GCD(1, 418) = 418 / 418
GCD(1, 418) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
GCD(1, 494) = 494 / 494
GCD(1, 494) = 1
GCD of 28, 491, 418, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 491, 418, 494?
GCD of 28, 491, 418, 494 is 1
2. Where do I get the detailed procedure to find GCD of 28, 491, 418, 494?
You can find a detailed procedure to find GCD of 28, 491, 418, 494 on our page.
3. How to find GCD of 28, 491, 418, 494 on a calculator?
You can find the GCD of 28, 491, 418, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.